I am given this function 1 on an interval $[0,\pi]$ and am asked to make a sketch of it on an interval $[-\pi,\pi]$. When plugging it into Maple, I am given a sketch graph like this 2, however, that is incorrect. According to the solutions by my professor, the graph is supposed to look like this 3. I particularly don't understand the left side of the graph, why is it just like the right side?
2026-03-25 19:01:04.1774465264
Why does this 2Pi-Periodic function looks like this?
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The problem specifies it is an even function. That is, $f(-x) = f(x)$ for all $x$.